Module 8 :  Free Vibration with Viscous Damping; Critical Damping and Aperiodic
                        Motion; Logarithmic Decrement;Systems with Coulomb Damping.
Lecture 1 :   Free Vibration with Viscous Damping


Fig 8.1.3 Damped vibration at various damping factors
In Fig. 8.1.3 we capture typical motions for overdamped, critically damped and underdamped systems.The initial conditions for the system are:
 
Phase plot for underdamped oscillations showing the system coming to rest at its equilibrium position is given in Fig. 8.1.4





Fig 8.1.4 Phase plot of damped oscillations for =0.1
   
1